projective

1. Projecting outward

2. Of, relating to, or caused by a projection

3. Of or related to projective geometry:

   (обычно)Invariant under projective transformations.

4. (обычно)Defined in or inhabiting a projective space.

5. In a technical sense, general (but not necessarily so general as to be free); involving such objects:

   Such that there is another (left) R-module N with M⊕N a free R-module. Equivalently, projective in the category of modules (see below).

6. Such that, given an epimorphism e:E→X and morphism f:P→X, f factors through e; that is, there exists a morphism ̃f:P→E with e∘̃f=f.

7. Such that every epimorphism from a profinite group onto G has a right inverse which is a homomorphism.

8. Such that every object in the resolution is projective.

правильный